Mathematics 317 T2 Assignment4

Mathematics 317 T2 Assignment4 - (a) . 2 j i F y x + = (b)...

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Mathematics 317 Assignment #4: due Friday, February 5, 2010 1. The velocity field of a fluid is given by . j i q y x + - = Sketch the velocity field and find the equation of the streamline passing through the point (1, 1). 2. Sketch the field lines for the following vector fields:
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Unformatted text preview: (a) . 2 j i F y x + = (b) . 2 j i F x y-= (c) . sin j i F x y-= 3. What restrictions must be placed on the constants d c b a , , , so that the vector field j i F ) ( ) ( dy cx by ax + + + = can be expressed as the gradient of some scalar field?...
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